7.13.9Transformer impedances#

The necessary transformer characteristics can be determined from the transformer type, size, and percentage impedance.

The transformer full load secondary current in amps per phase is:

I fl = kVA x 1000 / (3 x 400)

where

kVA is the transformer rating.

Prospective short circuit current in amps per phase at the secondary terminals is:

I sc = I fl / Z%

where

Z% is transformer percentage impedance.

Transformer impedance in Ohms is:

Z = V / I sc

The assumed phase angle for the impedance is 72.5°, which relates to recommended practice for a transformer with capacity of less than 2 MVA (Standards Australia Handbook HB301 p50).

Transformer resistance in Ohms is:

R = Z cos (72.5°)

Transformer reactance in Ohms is:

X = Z sin (72.5°)

The following transformer data was extracted from Energex Technical Instruction TSD0024c.

Table 7.13.9(a) – Standard transformer data
TypeSize (KVA)Impedance (%)Mass (kg)
Pole mount10*4<190
Pole mount253.3196
Pole mount253.3500
Pole mount494520
Pole mount634600
Pole mount1004710
Pole mount20041080
Pole mount31541410
Pole mount50041990
Padmount square31543835
Padmount square50044160
Padmount square75055200
Padmount square100055500
Padmount rectangular31542935
Padmount rectangular50043740
Padmount rectangular75054270
Padmount rectangular100054915
Ground mount10041325
Ground mount31541730
Ground mount75053170
Ground mount100054040
Ground mount15006.254760
Ground mount15009.756080
Dry type31541230
Dry type50041550
Dry type75062000
Dry type100062370
Dry type150063300

From the standard transformer data and the formula provided, the typical transformer characteristics can be calculated as shown here:

Table 7.13.9(b) – Typical transformer characteristics
RatingZ%Ifl (A)Isc (A)Z (Ω)R (Ω)X (Ω)
10*4143610.6400000.1924520.610379
253.33610930.2112000.0635090.201425
494.07117680.1306120.0392760.124567
634.09122730.1015870.0305480.096886
1004.014436080.0640000.0192450.061038
2004.028972170.0320000.0096230.030519
3154.0455113670.0203170.0061100.019377
5004.0722180420.0128000.0038490.012208
7505.01083216510.0106670.0032080.010173
7506.01083180420.0128000.0038490.012208
10005.01443288680.0080000.0024060.007630
10006.01443240560.0096000.0028870.009156
15006.02165360840.0064000.0019250.006104
15006.252165346410.0066670.0020050.006358
Source: TRUM Vol 4 Part 3 · pages 150–152 Open PDF at this page Search this document